Description :  Lagging response describes the heat flux vector and the temperature gradient occurring at different instants of time in the heat transfer process. Currently, only the first-order approximation of the dual-phase-lagging model is used to study the thermal behavior in microscale thin films. This project develops an approximate analytical method to solve a dual-phase-lagging heat conduction equation in microscale thin films. This method is derived based on the original dual-phase-lagging model without using the first-order Taylor series approximation. The solution is obtained by employing the method of separation of variables. The coefficients of the series solution are then approximated by polynomials. The significance of this research resides in the fact that (1) higher order effect in time lags of head flux and temperature gradient in microscale thin films will be presented; (2) the experimental data will be obtained. Through the experimental verification, our method will be validated; and (3) it will have significant impact on micromanufacturing and higher education and increase the competitiveness of the institutes when seeking federal research grants.

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Principal Investigator:  Dai, Weizhong  --  Math & Statistics

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Collaborators:  Dr. Teng Zhu

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Funding Agencies:  Board of Regents through Grambling State University

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Amount Awarded:  $80,303

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Start Period:  06/01/2002

End Period:  06/30/2005